Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

Table of contents

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[221.] Experimentum 2.
Page: 242 (155)
[222.] Experimentum 3.
Page: 242 (155)
[223.] Experimentum 4.
Page: 242 (155)
[224.] Experimentum 5.
Page: 243 (156)
[225.] Experimentum 6.
Page: 243 (156)
[226.] Experimentum 7.
Page: 243 (156)
[227.] Experimentum 8.
Page: 244 (157)
[228.] Experimentum 9.
Page: 244 (157)
[229.] Experimentum 10.
Page: 244 (157)
[230.] Experimentum 11.
Page: 245 (158)
[231.] Experimentum 12.
Page: 246 (159)
[232.] SCHOLIUM I. Uberior demonſtratio n. 558.
Page: 247 (160)
[233.] SCHOLIUM 2. Illuſtratio circa mutuam corporum elaſticorum actionem.
Page: 251 (161)
[234.] SCHOLIUM 3. Paradoxi explicatio.
Page: 256 (163)
[235.] CAPUT XXV. De motu compoſito.
Page: 257 (164)
[236.] CAPUT XXVI. De Percuſſione obliqua. Definitio 1.
Page: 261 (168)
[237.] Definitio. 2.
Page: 261 (168)
[238.] Machina.
Page: 262 (169)
[239.] Experimentum. I.
Page: 263 (170)
[240.] CAPUT XXVII. De Colliſione compoſita. Definitio.
Page: 268 (172)
[241.] Experimentum. 1
Page: 276 (177)
[242.] Experimentum 2.
Page: 276 (177)
[243.] Experimentum 3.
Page: 279 (180)
[244.] SCHOLIUM 1. Demonſtrationes n. 623. 625. 626. 627.
Page: 279 (180)
[245.] SCHOLIUM 2. Inveſtigatio motus memorati in n. 633.
Page: 284 (182)
[246.] SCHOLIUM 3. Demonſtratio n. 637.
Page: 286 (184)
[247.] CAPUT XXVIII. De Motu Centri gravitatis.
Page: 286 (184)
[248.] Definitio.
Page: 286 (184)
[249.] SCHOLIUM 1. Demonſtratio n. 660.
Page: 289 (187)
[250.] SCHOLIUM 2. Demonſtrationes n. 658. ut & 648.
Page: 290 (188)
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          <pb o="139" file="0205" n="223" rhead="MATHEMATICA. LIB. I. CAP. XXIII."/>
        </div>
        <div xml:id="echoid-div786" type="section" level="1" n="206">
          <head xml:id="echoid-head292" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          10.</head>
          <p>
            <s xml:id="echoid-s5505" xml:space="preserve">Suſpenſis globis, ex argilla molli, æqualibus P & </s>
            <s xml:id="echoid-s5506" xml:space="preserve">Q, ſint
              <lb/>
              <note position="right" xlink:label="note-0205-01" xlink:href="note-0205-01a" xml:space="preserve">517.</note>
            hi in contrarias partes moti, P velocitate ſex, Q velocita-
              <lb/>
              <note position="right" xlink:label="note-0205-02" xlink:href="note-0205-02a" xml:space="preserve">
                <emph style="sc">TAB. XXL.</emph>
                <lb/>
              fig. 2.</note>
            te quatuordecim, poſt ictum velocitate quatuor motum con-
              <lb/>
            tinuat, Q ſecum ferens P.</s>
            <s xml:id="echoid-s5507" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5508" xml:space="preserve">Quia propter maſſas æquales hæ unitate deſignari poſſunt,
              <lb/>
            producta maſſarum per velocitates ſunt 6. </s>
            <s xml:id="echoid-s5509" xml:space="preserve">& </s>
            <s xml:id="echoid-s5510" xml:space="preserve">14.</s>
            <s xml:id="echoid-s5511" xml:space="preserve">, quorum
              <lb/>
            differentia eſt 8.</s>
            <s xml:id="echoid-s5512" xml:space="preserve">, quæ diviſa per ſummam maſſarum 2, dat
              <lb/>
            velocitatem poſt ictum quatuor.</s>
            <s xml:id="echoid-s5513" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div788" type="section" level="1" n="207">
          <head xml:id="echoid-head293" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          11.</head>
          <p>
            <s xml:id="echoid-s5514" xml:space="preserve">Non differt experimentum hoc à colliſione in Experimen-
              <lb/>
              <note position="right" xlink:label="note-0205-03" xlink:href="note-0205-03a" xml:space="preserve">518.</note>
            to 7. </s>
            <s xml:id="echoid-s5515" xml:space="preserve"> memoratâ, poteſt autem velocitas corporum
              <note position="right" xlink:label="note-0205-04" xlink:href="note-0205-04a" xml:space="preserve">
                <emph style="sc">TA. XXIL.</emph>
                <lb/>
              fig. 1.</note>
            ictum ex nunc demonſtratis determinari.</s>
            <s xml:id="echoid-s5516" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">511.</note>
          <p>
            <s xml:id="echoid-s5517" xml:space="preserve">Multiplicando maſſam E per velocitatem 17.</s>
            <s xml:id="echoid-s5518" xml:space="preserve">, habemus 51;
              <lb/>
            </s>
            <s xml:id="echoid-s5519" xml:space="preserve">ſubtractis 6, producto maſſæ 2 per velocitatem 3, reſtat 45; </s>
            <s xml:id="echoid-s5520" xml:space="preserve">
              <lb/>
            quibus diviſis per 5. </s>
            <s xml:id="echoid-s5521" xml:space="preserve">ſummam maſſarum, habemus velocita-
              <lb/>
            tem novem Experimento detectam.</s>
            <s xml:id="echoid-s5522" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s5523" xml:space="preserve">Si corpus unum quieſcat, ex utrâque regulâ ſequitur cor-
              <lb/>
              <note position="right" xlink:label="note-0205-06" xlink:href="note-0205-06a" xml:space="preserve">519.</note>
            poris moti productum velocitatis per maſſam dividi debere
              <lb/>
            per maſſarum ſummam.</s>
            <s xml:id="echoid-s5524" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div791" type="section" level="1" n="208">
          <head xml:id="echoid-head294" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          12.</head>
          <p>
            <s xml:id="echoid-s5525" xml:space="preserve">Globus P ex argillâ molli in globum æqualem quieſcen-
              <lb/>
              <note position="right" xlink:label="note-0205-07" xlink:href="note-0205-07a" xml:space="preserve">
                <emph style="sc">TAB XXI.</emph>
                <lb/>
              fig. 3.</note>
            tem Q, velocitate decem, incurrit, poſt ictum ſimul velo-
              <lb/>
            citate quinque motum continuant.</s>
            <s xml:id="echoid-s5526" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5527" xml:space="preserve">Corpus in motu alii corpori ſine impactione motum com-
              <lb/>
              <note position="right" xlink:label="note-0205-08" xlink:href="note-0205-08a" xml:space="preserve">520.</note>
            municare poteſt, in hoc tantum preſſione agendo; </s>
            <s xml:id="echoid-s5528" xml:space="preserve">in quo ca-
              <lb/>
            ſu ſi preſſio qua partes cohærent inter ſe ſuperet preſſionem
              <lb/>
            corporum mutuam nulla datur partium introceſſio, & </s>
            <s xml:id="echoid-s5529" xml:space="preserve">nulla vis
              <lb/>
            deſtructa : </s>
            <s xml:id="echoid-s5530" xml:space="preserve">ideoque ſumma virium ante & </s>
            <s xml:id="echoid-s5531" xml:space="preserve">poſt
              <note symbol="*" position="right" xlink:label="note-0205-09" xlink:href="note-0205-09a" xml:space="preserve">488;</note>
            eadem eſt.</s>
            <s xml:id="echoid-s5532" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5533" xml:space="preserve">Ut autem demonſtremus quomodo corpora mota, preſſio-
              <lb/>
              <note position="right" xlink:label="note-0205-10" xlink:href="note-0205-10a" xml:space="preserve">521.</note>
            ne in alia, ſine impactione, motum communicare poſſint, con-
              <lb/>
              <note position="right" xlink:label="note-0205-11" xlink:href="note-0205-11a" xml:space="preserve">
                <emph style="sc">TAB. XXI.</emph>
                <lb/>
              fig 4.</note>
            cipiendum eſt corpus Q, quod formatur revolutione figuræ
              <lb/>
            a b c d (quæ ſemicirculo & </s>
            <s xml:id="echoid-s5534" xml:space="preserve">duobus quadrantibus termina-
              <lb/>
            tur) circa axem a c.</s>
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